Since that AK4393/6 dacs are analog balanced signal out dacs, I suggest you to trial avoiding analog/opamp section with tapping analog L/R channels directly from pins. You have to add dc blocking cap if you will tap unbalanced signal from + pins and analog ground.

Blocking cap type and value can be determined during tests. I think 2.7 uF or greater would fit. You have to tap analog ground somewhere close to dac chip.